The C1 generic diffeomorphism has trivial centralizer

Details The C1 generic diffeomorphism has trivial centralizer The C1 generic diffeomorphism has trivial centralizer

2008-04-09

arxiv.org/abs/0804.1416v1

Mathematics

Dynamical Systems

Scientific paper

Answering a question of Smale, we prove that the space of C1 diffeomorphisms
of a compact manifold contains a residual subset of diffeomorphisms whose
centralizers are trivial.

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